See though, Val313, that's coming from you not liking cats. Which is totally understandable! Dogs are different because are more often more dangerous that cats. They're bigger, and can cause a lot more damage. I haven't heard of non-rabid cats attacking people.
I love birds too. Adore them. But I recognize nature's way. Cats eat birds. Just life.
BUT! Besides that, I do agree with you. As I said, they are dissrupting your life activities. You have a right to cease that.
Let us know what you do! I hope it works out best for you and the cats.